Home / 1,311.68-1,968.20-581.77

Finding the Fourth Proportional to 1,311.68, 1,968.20 and 581.77

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Solution

The fourth proportional to 1,311.68, 1,968.20 and 581.77 is: 872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.68 : 1,968.20 = 581.77 : x
  2. Step 2: Convert to fraction form
    1,311.68/1,968.20 = 581.77/x
  3. Step 3: Cross multiply
    1,311.68x = 1,968.20 × 581.77
  4. Step 4: Simplify right side
    1,311.68x = 1,145,039.71
  5. Step 5: Solve for x
    x = 1,145,039.71/1,311.68
  6. Step 6: Final answer
    x = 872.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.